Maharashtra Board Practice Set 26 Class 7 Maths Solutions Chapter 6 Indices

Balbharti Maharashtra State Board Class 7 Maths Solutions covers the 7th Std Maths Practice Set 26 Answers Solutions Chapter 6 Indices.

Indices Class 7 Practice Set 26 Answers Solutions Chapter 6

Question 1.
Complete the table below:

Sr. No. Indices (Numbers in index form) Base Index Multiplication form Value
i. 34 3 4 3 x 3 x 3 x 3 81
ii. 163
iii. (-8) 2

iv.

\(\frac{3}{7} \times \frac{3}{7} \times \frac{3}{7} \times \frac{3}{7}\) \(\frac { 81 }{ 2401 }\)
v. (-13)4

Solution:

Sr. No. Indices (Numbers in index form) Base Index Multiplication form Value
i. 34 3 4 3 x 3 x 3 x 3 81
ii. 163  16 3 16 x 16 x 16 4096
iii. (-8)² (-8) 2 -8 x -8 64

iv.

\(\left(\frac{3}{7}\right)^{4}\) \(\frac { 7 }{ 7 }\) 4 \(\frac{3}{7} \times \frac{3}{7} \times \frac{3}{7} \times \frac{3}{7}\) \(\frac { 81 }{ 2401 }\)
v. (-13)4  -13 4 (-13) x (-13) x (-13) x (-13) 28561

Question 2.
Find the value of.
i. 210
ii. 53
iii. (-7)4
iv. (-6)3
v. 93
vi. 81
vii. \(\left(\frac{4}{5}\right)^{3}\)
viii. \(\left(-\frac{1}{2}\right)^{4}\)
Solution:
i. 210
= 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
= 1024

ii. 53
= 5 × 5 × 5
= 125

iii. (-7)4
= (-7) × (-7) × (-7) × (-7)
= 2401

iv. (-6)3
= (-6) × (-6) × (-6)
= -216

v. 93
= 9 × 9 × 9
= 729

vi. 81
= 8

vii. \(\left(\frac{4}{5}\right)^{3}\)
\(=\frac{4}{5} \times \frac{4}{5} \times \frac{4}{5}=\frac{64}{125}\)

viii. \(\left(-\frac{1}{2}\right)^{4}\)
\(=\left(-\frac{1}{2}\right) \times\left(-\frac{1}{2}\right) \times\left(-\frac{1}{2}\right) \times\left(-\frac{1}{2}\right)=\frac{1}{16}\)

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